Lyapunov-based impact time control guidance laws against stationary targets

Author

Mingu Kim ; Bokyung Jung ; Bumku Han ; Sangchul Lee ; Youdan Kim

Author_Institution

Seoul Nat. Univ., Seoul, South Korea

Volume

51

Issue

2

fYear

2015

fDate

42095

Firstpage

1111

Lastpage

1122

Abstract

Nonlinear guidance laws that consider impact time constraints are proposed. Two-dimensional and three-dimensional impact time control guidance laws are derived using Lyapunov stability theory. Under the consideration of the nonlinear kinematics, it is shown that the missile states converge to the desired equilibrium point by the Lyapunov stability theory. The singularity issue of the proposed guidance laws is also analyzed. Numerical simulations are performed to verify the performance of the proposed guidance laws.

Keywords

Lyapunov methods; missile guidance; nonlinear control systems; stability; Lyapunov stability theory; Lyapunov-based impact time control guidance laws; equilibrium point; impact time constraints; missile states; nonlinear guidance laws; nonlinear kinematics; singularity issue; stationary targets; three-dimensional impact time control guidance law; two-dimensional impact time control guidance law; Acceleration; Aerospace engineering; Geometry; Kinematics; Lyapunov methods; Missiles; Time factors;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/TAES.2014.130717

Filename

7126168